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Finding the Third Proportional to 22,537.50 and 32,644.13

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Solution

The third proportional to 22,537.50 and 32,644.13 is: 47,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.50 : 32,644.13 = 32,644.13 : x
  2. Step 2: Convert to fraction form
    22,537.50/32,644.13 = 32,644.13/x
  3. Step 3: Cross multiply
    22,537.50x = 32,644.13 × 32,644.13
  4. Step 4: Simplify right side
    22,537.50x = 1,065,638,897.02
  5. Step 5: Solve for x
    x = 1,065,638,897.02/22,537.50
  6. Step 6: Final answer
    x = 47,282.92

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.